Sound Localization through Multi-Scattering and Gradient-Based Optimization

A gradient-based optimization (GBO) method is presented for acoustic lens design and sound localization. GBO uses a semi-analytical optimization combined with the principle of acoustic reciprocity. The idea differs from earlier inverse designs that use topology optimization tools and generic algorit...

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Autores principales:	Feruza Amirkulova, Samer Gerges, Andrew Norris
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	multiple scattering gradient-based optimization acoustic reciprocity broadband metamaterials acoustic lens sound localization Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/68f2cb31645c44018a7d7106c907fb48
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spelling	oai:doaj.org-article:68f2cb31645c44018a7d7106c907fb482021-11-25T18:16:42ZSound Localization through Multi-Scattering and Gradient-Based Optimization10.3390/math92228622227-7390https://doaj.org/article/68f2cb31645c44018a7d7106c907fb482021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2862https://doaj.org/toc/2227-7390A gradient-based optimization (GBO) method is presented for acoustic lens design and sound localization. GBO uses a semi-analytical optimization combined with the principle of acoustic reciprocity. The idea differs from earlier inverse designs that use topology optimization tools and generic algorithms. We first derive a formula for the gradients of the pressure at the focal point with respect to positions of a set of cylindrical scatterers. The analytic form of the gradients enhances modeling capability when combined with optimization algorithms and parallel computing. The GBO algorithm maximizes the sound amplification at the focal point and enhances the sound localization by evaluating pressure derivatives with respect to the cylinder positions and then perturbatively optimizing the position of each cylinder in the lens while incorporating multiple scattering between the cylindrical scatterers. The results of the GBO of the uni- and multi-directional broadband acoustic lens designs are presented including several performance measures for the frequency dependence and the incidence angle. A multi-directional broadband acoustic lens is designed to localize the sound and to focus acoustic incident waves received from multiple directions onto a predetermined localization region or focal point. The method is illustrated for configurations of sound hard and sound soft cylinders as well as clusters of elastic thin shells in water.Feruza AmirkulovaSamer GergesAndrew NorrisMDPI AGarticlemultiple scatteringgradient-based optimizationacoustic reciprocitybroadband metamaterialsacoustic lenssound localizationMathematicsQA1-939ENMathematics, Vol 9, Iss 2862, p 2862 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	multiple scattering gradient-based optimization acoustic reciprocity broadband metamaterials acoustic lens sound localization Mathematics QA1-939
spellingShingle	multiple scattering gradient-based optimization acoustic reciprocity broadband metamaterials acoustic lens sound localization Mathematics QA1-939 Feruza Amirkulova Samer Gerges Andrew Norris Sound Localization through Multi-Scattering and Gradient-Based Optimization
description	A gradient-based optimization (GBO) method is presented for acoustic lens design and sound localization. GBO uses a semi-analytical optimization combined with the principle of acoustic reciprocity. The idea differs from earlier inverse designs that use topology optimization tools and generic algorithms. We first derive a formula for the gradients of the pressure at the focal point with respect to positions of a set of cylindrical scatterers. The analytic form of the gradients enhances modeling capability when combined with optimization algorithms and parallel computing. The GBO algorithm maximizes the sound amplification at the focal point and enhances the sound localization by evaluating pressure derivatives with respect to the cylinder positions and then perturbatively optimizing the position of each cylinder in the lens while incorporating multiple scattering between the cylindrical scatterers. The results of the GBO of the uni- and multi-directional broadband acoustic lens designs are presented including several performance measures for the frequency dependence and the incidence angle. A multi-directional broadband acoustic lens is designed to localize the sound and to focus acoustic incident waves received from multiple directions onto a predetermined localization region or focal point. The method is illustrated for configurations of sound hard and sound soft cylinders as well as clusters of elastic thin shells in water.
format	article
author	Feruza Amirkulova Samer Gerges Andrew Norris
author_facet	Feruza Amirkulova Samer Gerges Andrew Norris
author_sort	Feruza Amirkulova
title	Sound Localization through Multi-Scattering and Gradient-Based Optimization
title_short	Sound Localization through Multi-Scattering and Gradient-Based Optimization
title_full	Sound Localization through Multi-Scattering and Gradient-Based Optimization
title_fullStr	Sound Localization through Multi-Scattering and Gradient-Based Optimization
title_full_unstemmed	Sound Localization through Multi-Scattering and Gradient-Based Optimization
title_sort	sound localization through multi-scattering and gradient-based optimization
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/68f2cb31645c44018a7d7106c907fb48
work_keys_str_mv	AT feruzaamirkulova soundlocalizationthroughmultiscatteringandgradientbasedoptimization AT samergerges soundlocalizationthroughmultiscatteringandgradientbasedoptimization AT andrewnorris soundlocalizationthroughmultiscatteringandgradientbasedoptimization
_version_	1718411386325827584

Sound Localization through Multi-Scattering and Gradient-Based Optimization

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